Homogenization and 3D-2D dimension reduction of a functional on manifold valued BV space

Abstract

We study the simultaneous homogenization and dimension reduction of an energy functional with linear growth defined on the space of manifold valued Sobolev functions. The study is carried out by Γ-convergence, providing an integral representation result in the space of manifold constrained functions with bounded variation.

Keywords

homogenization / dimensional reduction / manifold-valued spaces of functions with bounded variation / Γ-convergence / micromagnetics / linear growth

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